ndiana’s population has increased by 9.5% since 2000, when it was about 6 million people. What is Indiana’s population now? Write your answer as a standard number. Hint: the number will have 7 digits with two commas.

ndianas population has increased by 95 since 2000 when it was about 6 million people What is Indianas population now Write your answer as a standard number Hint class=

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Solution:

Given that the initial population was 6 million, and the population increased by 9.5% since 2000, this implies that

[tex]Percentage\text{ increase=}\frac{new\text{ population -inital population}}{initial\text{ population}}\times100[/tex]

Let x represent the new population.

By substitution, we have

[tex]\begin{gathered} 9.5=\frac{x-6000000}{6000000}\times100 \\ \Rightarrow9.5=\frac{x-6000000}{60000} \\ solving\text{ for x, we have} \\ x=6570000 \end{gathered}[/tex]

Hence, the new population is 6570000